We consider a quantum dot of radius \(R\)  in the presence of a electric potentiel \(V\)  and magnetic flux \(\phi \) , as illustrated in Figure REF . In the vicinity of the \(k\) (\(\tau =1\) ) and \(k^{\prime }\) (\(\tau =-1\) ) valleys, by constructing the wave functions through the basis of conduction and valence bands, the Dirac-Weyl Hamiltonian for low-energy charge carriers in monolayer molybdenium disulfide \(\mathrm {MoS_2}\)  reads [1]}, [2]}
\(H=H_0+\frac{\Delta }{2} \sigma _z +\frac{\lambda _{so}}{2}\tau s_z(1-\sigma _z)+V(r)\) 
